Constraints on the Amount Deposited

Oct 13, 2025 by wbrum.org 6 views

Introduction

Layla, a diligent individual, has a habit of setting aside a portion of her paycheck into a savings account. The amount she deposits varies, but it falls within a specific range. In this discussion, we will explore the possible values of the amount she deposits, denoted as ${$ s$}$, given that she earns ${$ $200$}$ per paycheck. We will examine the constraints on the amount she deposits and determine the range of possible values.

Constraints on the Amount Deposited

Layla deposits at least ${ $25\%\$}$ but no more than ${ $50\%\$}$ of her paycheck into a savings account. This means that the amount she deposits, ${$ s$}$, must satisfy the following inequalities:

${$ s$}$ ≥ ${ $25\%\$ \times \$200\$}$
${$ s$}$ ≤ ${ $50\%\$ \times \$200\$}$

Calculating the Lower and Upper Bounds

To find the lower and upper bounds of the amount she deposits, we need to calculate ${ $25\%\$ \times \$200\$}$ and ${ $50\%\$ \times \$200\$}$ .

Lower bound: ${ $25\%\$ \times \$200\$}$ = ${ $0.25 \times \$200\$}$ = ${$ $50$}$
Upper bound: ${ $50\%\$ \times \$200\$}$ = ${ $0.5 \times \$200\$}$ = ${$ $100$}$

Understanding the Range of Possible Amounts

Given the lower and upper bounds, we can conclude that the amount Layla deposits, ${$ s$}$, must fall within the range of ${$ $50$}$ to ${$ $100$}$. This means that the possible values of ${$ s$}$ are all the numbers between ${$ $50$}$ and ${$ $100$}$, inclusive.

Conclusion

In conclusion, the amount Layla deposits into her savings account, ${$ s$}$, must be at least ${$ $50$}$ and no more than ${$ $100$}$. This range of possible values is determined by the constraints on the amount she deposits, which are at least ${ $25\%\$}$ and no more than ${ $50\%\$}$ of her paycheck.

Key Takeaways

The amount Layla deposits, ${$ s$}$, must be at least ${$ $50$}$.
The amount Layla deposits, ${$ s$}$, must be no more than ${$ $100$}$.
The possible values of ${$ s$}$ are all the numbers between ${$ $50$}$ and ${$ $100$}$, inclusive.

Final Thoughts

Introduction

In our previous discussion, we explored the possible values of the amount Layla deposits into her savings account, given that she earns ${$ $200$}$ per paycheck. We determined that the amount she deposits must fall within the range of ${$ $50$}$ to ${$ $100$}$. In this Q&A guide, we will address some common questions related to Layla's savings account deposits.

Q: What is the minimum amount Layla can deposit into her savings account?

A: The minimum amount Layla can deposit into her savings account is ${$ $50$}$, which is ${ $25\%\$}$ of her paycheck.

Q: What is the maximum amount Layla can deposit into her savings account?

A: The maximum amount Layla can deposit into her savings account is ${$ $100$}$, which is ${ $50\%\$}$ of her paycheck.

Q: Can Layla deposit any amount between ${$ $50$}$ and ${$ $100$}$?

A: Yes, Layla can deposit any amount between ${$ $50$}$ and ${$ $100$}$. This range of possible values is determined by the constraints on the amount she deposits, which are at least ${ $25\%\$}$ and no more than ${ $50\%\$}$ of her paycheck.

Q: What happens if Layla deposits less than ${$ $50$}$ or more than ${$ $100$}$?

A: If Layla deposits less than ${$ $50$}$, she will not meet the minimum requirement of ${ $25\%\$}$ of her paycheck. If she deposits more than ${$ $100$}$, she will exceed the maximum requirement of ${ $50\%\$}$ of her paycheck.

Q: Can Layla change the amount she deposits into her savings account?

A: Yes, Layla can change the amount she deposits into her savings account. However, she must ensure that the new amount falls within the range of ${$ $50$}$ to ${$ $100$}$.

Q: Why is it important for Layla to deposit at least ${ $25\%\$}$ of her paycheck?

A: It is essential for Layla to deposit at least ${ $25\%\$}$ of her paycheck because it helps her build a safety net and achieve her long-term financial goals.

Q: Why is it important for Layla to deposit no more than ${ $50\%\$}$ of her paycheck?

A: It is essential for Layla to deposit no more than ${ $50\%\$}$ of her paycheck because it allows her to maintain a balance between saving and spending.

Conclusion

In this Q&A guide, we addressed some common questions related to Layla's savings account deposits. We hope this guide has provided you with a better understanding of the possible values of the amount Layla deposits into her savings account.

Key Takeaways

The minimum amount Layla can deposit into her savings account is ${$ $50$}$.
The maximum amount Layla can deposit into her savings account is ${$ $100$}$.
Layla can deposit any amount between ${$ $50$}$ and ${$ $100$}$.
Layla must ensure that the amount she deposits falls within the range of ${$ $50$}$ to ${$ $100$}$.

Final Thoughts

In conclusion, Layla's savings account deposits are subject to certain constraints. By understanding these constraints, Layla can make informed decisions about the amount she deposits into her savings account.